Uniform approximation on a real-analytic manifold
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- by Michael Freeman
- Trans. Amer. Math. Soc. 143 (1969), 545-553
- DOI: https://doi.org/10.1090/S0002-9947-1969-0248525-3
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References
- Richard Arens and A. P. Calderón, Analytic functions of several Banach algebra elements, Ann. of Math. (2) 62 (1955), 204–216. MR 71735, DOI 10.2307/1969675
- Michael Freeman, Some conditions for uniform approximation on a manifold, Function Algebras (Proc. Internat. Sympos. on Function Algebras, Tulane Univ., 1965) Scott-Foresman, Chicago, Ill., 1966, pp. 42–60. MR 0193538
- Michael Freeman, Function algebras on a manifold, Rice Univ. Stud. 54 (1968), no. 4, 15–19. MR 237822
- Robert C. Gunning and Hugo Rossi, Analytic functions of several complex variables, Prentice-Hall, Inc., Englewood Cliffs, N.J., 1965. MR 0180696
- Lars Hörmander, An introduction to complex analysis in several variables, D. Van Nostrand Co., Inc., Princeton, N.J.-Toronto, Ont.-London, 1966. MR 0203075 L. Hörmander and J. Wermer, Uniform approximation on compact sets in ${C^n}$, Math. Scand. (to appear).
- Witold Hurewicz and Henry Wallman, Dimension Theory, Princeton Mathematical Series, vol. 4, Princeton University Press, Princeton, N. J., 1941. MR 0006493
- Raghavan Narasimhan, Imbedding of holomorphically complete complex spaces, Amer. J. Math. 82 (1960), 917–934. MR 148942, DOI 10.2307/2372949
- Ricardo Nirenberg and R. O. Wells Jr., Holomorphic approximation on real submanifolds of a complex manifold, Bull. Amer. Math. Soc. 73 (1967), 378–381. MR 209850, DOI 10.1090/S0002-9904-1967-11760-9
- Ricardo Nirenberg and R. O. Wells Jr., Approximation theorems on differentiable submanifolds of a complex manifold, Trans. Amer. Math. Soc. 142 (1969), 15–35. MR 245834, DOI 10.1090/S0002-9947-1969-0245834-9
- R. O. Wells Jr., Holomorphic approximation on real-analytic submanifolds of a complex manifold, Proc. Amer. Math. Soc. 17 (1966), 1272–1275. MR 200946, DOI 10.1090/S0002-9939-1966-0200946-3
- J. Wermer, Approximation on a disk, Math. Ann. 155 (1964), 331–333. MR 165386, DOI 10.1007/BF01354865
- J. Wermer, Polynomially convex disks, Math. Ann. 158 (1965), 6–10. MR 174968, DOI 10.1007/BF01370392
- John Wermer, Banach algebras and analytic functions, Advances in Math. 1 (1961), no. fasc. 1, 51–102. MR 143063, DOI 10.1016/0001-8708(65)90036-8
- H. Whitney and F. Bruhat, Quelques propriétés fondamentales des ensembles analytiques-réels, Comment. Math. Helv. 33 (1959), 132–160 (French). MR 102094, DOI 10.1007/BF02565913
Bibliographic Information
- © Copyright 1969 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 143 (1969), 545-553
- MSC: Primary 46.55; Secondary 32.00
- DOI: https://doi.org/10.1090/S0002-9947-1969-0248525-3
- MathSciNet review: 0248525